Part A: D) x is positive, y is negative.
Part B: C) both x and y are negative.
Part A:
P' is found by rotating P 90° counterclockwise about the origin. This makes the coordinates (x,y) transform to (-y,x). Thus (-2,-1) maps to (1,-2).
Part B:
Q'' is found by rotating Q 90° counterclockwise about the origin, then reflecting across the x axis. This makes the coordinates (x,y) first transform to (-y,x), then makes the new y-coordinate the opposite sign. Thus (1,2) first maps to (-2,1), then to (-2,-1).
Find the perimeter of the garden find out what kind of triangle the garden is for example if it is a right triangle it has to equal up to 90.
To find the area remember that A=b•h2 as a=area
115 x .23= 26.45
She spent 26.45$ on the shirt
<span>A ski lift is designed to hold 20,000 pounds, and claims a capacity of 100 persons. suppose the weights of all people using the lift have a mean of 190 pounds and with a standard deviation of 45 pounds. what is the probability that a random group of 100 people will total more than the weight limit of 20,000 pounds?
Given data:
Capacity, x=20,000 lbs
n=100
μ=190
σ=45
&se;=σ/sqrt(n)=45/sqrt(100)=4.5
s=population mean
population μ and σ are both known, use SE normally distributed.
P(s≤x/n)=P(s≤200)=Z((200-190)/4.5)=Z(2.222)=0.98687
=>
P(s≥x/n)=1-P(s≤x/n)=1-0.98687=0.01313
Answer: probability of 100 people exceeding 20,000 lbs is 1.313%</span>
